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    Constructing and deriving reciprocal trigonometric relations: A functional analytic approach


    Ninness, Chris and Dixon, Mark and Barnes-Holmes, Dermot and Rehfeldt, Ruth-Anne (2009) Constructing and deriving reciprocal trigonometric relations: A functional analytic approach. Journal of Applied Behavior Analysis, 42. pp. 191-208. ISSN 0021-8855

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    Abstract

    Participants were pretrained and tested on mutually entailed trigonometric relations and combinatorially entailed relations as they pertained to positive and negative forms of sine, cosine, secant, and cosecant. Experiment 1 focused on training and testing transformations of these mathematical functions in terms of amplitude and frequency followed by tests of novel relations. Experiment 2 addressed training in accordance with frames of coordination (same as) and frames of opposition (reciprocal of) followed by more tests of novel relations. All assessments of derived and novel formula-to-graph relations, including reciprocal functions with diversified amplitude and frequency transformations, indicated that all 4 participants demonstrated substantial improvement in their ability to identify increasingly complex trigonometric formula-to-graph relations pertaining to same as and reciprocal of to establish mathematically complex repertoires.

    Item Type: Article
    Keywords: combinatorial entailment; construction-based training; mathematical relations; mutual entailment; matching to sample; trigonometry; relational frame theory;
    Academic Unit: Faculty of Science and Engineering > Psychology
    Item ID: 14824
    Identification Number: https://doi.org/10.1901/jaba.2009.42-191
    Depositing User: Prof. Dermot Barnes-Holmes
    Date Deposited: 14 Sep 2021 16:30
    Journal or Publication Title: Journal of Applied Behavior Analysis
    Publisher: Society for the Experimental Analysis of Behavior
    Refereed: Yes
    URI:

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